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Relations among conceptual knowledge, procedural knowledge, and procedural flexibility in two samples differing in

Michael Schneider1, Bethany Rittle-Johnson, Jon R Star

  • 1Institute for Behavioral Sciences, ETH Zurich, Switzerland. schneider@ifv.gess.ethz.ch

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This summary is machine-generated.

Children's conceptual and procedural knowledge in math show stable, bidirectional links, unaffected by prior knowledge. Both knowledge types independently boost procedural flexibility, crucial for competence development.

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Area of Science:

  • Cognitive Psychology
  • Educational Psychology
  • Developmental Psychology

Background:

  • Competence relies on conceptual knowledge, procedural knowledge, and procedural flexibility.
  • Previous research on the interplay between these knowledge types is inconclusive, lacking focus on measurement validity and prior knowledge effects.

Purpose of the Study:

  • To investigate the bidirectional relationship between conceptual and procedural knowledge in equation solving.
  • To determine if prior knowledge moderates these relationships.
  • To examine the independent contributions of conceptual and procedural knowledge to procedural flexibility.

Main Methods:

  • Latent factor modeling was used to analyze data from two samples of middle school students (Ns = 228 and 304).
  • Data were collected at two time points, with participants differing in prior knowledge.
  • The study focused on the domain of solving algebraic equations.

Main Results:

  • Conceptual and procedural knowledge demonstrated stable, bidirectional predictive relations.
  • These interrelations were not moderated by students' prior knowledge levels.
  • Both conceptual and procedural knowledge independently predicted procedural flexibility.

Conclusions:

  • The findings clarify the developmental interplay between conceptual and procedural knowledge in mathematics.
  • Stable bidirectional relations exist, highlighting the importance of fostering both knowledge types.
  • Independent contributions to procedural flexibility underscore the multifaceted nature of competence development.